When you are multiplying numbers that are written in scientific notation, you can use this formula:

(n x 10^{a}) • (m x 10^{b}) = (n · m) x 10^{a+b}

This means that you multiply the numbers in front of the 10 and then add the exponents.

So you have this problem and we can follow the formula above.

(7 * 10^3) * (8 * 10^-9)

(7 * 8) * 10 ^ 3 - 9

56 * 10^-6

The last step will be to make sure the answer is in proper scientific notation. This means that there is one digit followed by a decimal place. So for this problem the decimal place must be moved one place to the left, and the exponent reduced by 1.

5.6 * 10^-5

If you have any questions about this please let me know.

May 17th, 2015

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